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34340404222112 = 2529107345838747
BaseRepresentation
bin1111100111011011111111…
…00110000101100010100000
311111120220120210222122011012
413303231333212011202200
514000113121440101422
6201011433001040052
710143004141503632
oct763557746054240
9144526523878135
1034340404222112
11aa3a757a2701a
123a27497a86028
131621394aa8101
1486a12797ca52
153e84156744e2
hex1f3b7f9858a0

34340404222112 has 48 divisors (see below), whose sum is σ = 70592605241760. Its totient is φ = 16423190370048.

The previous prime is 34340404222109. The next prime is 34340404222181. The reversal of 34340404222112 is 21122240404343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172820078 + ... + 173018669.

It is an arithmetic number, because the mean of its divisors is an integer number (1470679275870).

Almost surely, 234340404222112 is an apocalyptic number.

34340404222112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34340404222112 is an abundant number, since it is smaller than the sum of its proper divisors (36252201019648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34340404222112 is a wasteful number, since it uses less digits than its factorization.

34340404222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345838893 (or 345838885 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34340404222112 its reverse (21122240404343), we get a palindrome (55462644626455).

The spelling of 34340404222112 in words is "thirty-four trillion, three hundred forty billion, four hundred four million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 107 116 214 232 428 464 856 928 1712 3103 3424 6206 12412 24824 49648 99296 345838747 691677494 1383354988 2766709976 5533419952 10029323663 11066839904 20058647326 37004745929 40117294652 74009491858 80234589304 148018983716 160469178608 296037967432 320938357216 592075934864 1073137631941 1184151869728 2146275263882 4292550527764 8585101055528 17170202111056 34340404222112